Question: questions below: For the next two problems, assume that X N Geometric/Z) and, given that X = :6, Y m Poisson(;c/2). Problem 1. (a) What's

questions below:

For the next two problems, assume that X N Geometric/Z) and, given that X = :6, Y m Poisson(;c/2). Problem 1. (a) What's the conditional p.rn.f. of Y given that X = 4? Identify the p.m.f. as a com mon distribution and its parameters. (b) What's the conditional expectation of Y given that X : 4? Problem 2. (a) What's the conditional p.In.f. of X given that Y = 0? Identify the p.m.f. as a com mon distribution and its parameters. HINT. Treat 1 /py(0) as a constant. (b) What's the conditional expectation of X given that Y : 0

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